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Former club Liverpool has been mooted as a potential destination for Alonso, while Chelsea boss Jose Mourinho, who managed the 31-year-old at the Bernabeu for the last three seasons, is thought to be interested in luring the Spaniard to Stamford Bridge.

Mourinho oversaw his first training session since returning for a second spell as Chelsea manager on Tuesday, but Alonso appears unlikely to join him in London.

"The Premier League? No. No way no chance," Alonso is quoted as saying by AS when asked about the prospect of working with Mourinho for a second time.

Specualtion over Alonso's future at Real is unlikely to go away, however, with the Spain international out of contract in June 2014 and able to leave the Santiago Bernabeu for free at the end of next season.

A mainstay of Mourinho's Madrid side, Alonso made 47 appearances in all competitions last term, but a possible move for Real Sociedad midfielder Asier Illarramendi could see his playing time limited next season.